Displaying similar documents to “Polymorphisms and linearization of nonlinear polynomials.”

On complexification and iteration of quasiregular polynomials which have algebraic degree two

Ewa Ligocka (2005)

Fundamenta Mathematicae

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We prove that each degree two quasiregular polynomial is conjugate to Q(z) = z² - (p+q)|z|² + pqz̅² + c, |p| < 1, |q| < 1. We also show that the complexification of Q can be extended to a polynomial endomorphism of ℂℙ² which acts as a Blaschke product (z-p)/(1-p̅z) · (z-q)/(1-q̅z) on ℂℙ²∖ℂ². Using this fact we study the dynamics of Q under iteration.

Reciprocal Stern Polynomials

A. Schinzel (2015)

Bulletin of the Polish Academy of Sciences. Mathematics

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A partial answer is given to a problem of Ulas (2011), asking when the nth Stern polynomial is reciprocal.